13054309632 has 864 divisors, whose sum is σ = 50890694400. Its totient is φ = 3121348608.

The previous prime is 13054309627. The next prime is 13054309657. The reversal of 13054309632 is 23690345031.

It is a happy number.

13054309632 is a `hidden beast` number, since 13 + 0 + 5 + 4 + 3 + 0 + 9 + 632 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 115524808 + ... + 115524920.

Almost surely, 2^13054309632 is an apocalyptic number.

13054309632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13054309632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25445347200).

13054309632 is an abundant number, since it is smaller than the sum of its proper divisors (37836384768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13054309632 is a wasteful number, since it uses less digits than its factorization.

13054309632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 13054309632 in words is "thirteen billion, fifty-four million, three hundred nine thousand, six hundred thirty-two".